kirinaallison
contestada

Find the simplified form of the expression. Give your answer in scientific notation. (3*10^-6) (6*10^-8)

A.18 x 10^-13
B.1.8 x 10^-16
C.1.8 x 10^-13
D.1.8 x 10^-15

PLEASE ANSWER THIS QUICKLY!!!!!!!

Respuesta :

mathstudent55

(3 * 10^-6)(6 * 10^-8) =


= (3 * 6) * (10^-6 * 10^-8)


= 18 * 10^-14


= 1.8 * 10^1 * 10^-14


= 1.8 * 10^-13

gmany

Scientific notation:


[tex]m\cdot10^{n}[/tex] where [tex]1\leq m < 10\ \wedge\ n\in\mathbb{Z}[/tex]


[tex] (3\cdot10^{-6})(6\cdot10^{-8})=(3\cdot6)(10^{-6}\cdot10^{-8})=18\cdot10^{-6+(-8)}\\\\=18\cdot10^{-14}=\dfrac{18\cdot10^{-14}\cdot10}{10}=\dfrac{18}{10}\cdot10^{-14+1}=1.8\cdot10^{-13} [/tex]


Answer: C.1.8 x 10^-13


Used:

Commutative Laws [tex]a+b=b+a[/tex]

[tex]a^n\cdot a^m=a^{n+m}[/tex]